Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 10080 and 210.

**Answer**

$10080=({2}^{5})({3}^{2})(5)(7)$

$210=(2)(3)(5)(7)$

The LCM of 10080 and 210 is the product of the largest powers of each prime factor in both.

Thus the LCM of 10080 and 210

$=({2}^{5})({3}^{2})(5)(7)$

$=10080$